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Finding the Fourth Proportional to 429,023.84, 592,068.80 and 259,225.12

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Solution

The fourth proportional to 429,023.84, 592,068.80 and 259,225.12 is: 357,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,023.84 : 592,068.80 = 259,225.12 : x
  2. Step 2: Convert to fraction form
    429,023.84/592,068.80 = 259,225.12/x
  3. Step 3: Cross multiply
    429,023.84x = 592,068.80 × 259,225.12
  4. Step 4: Simplify right side
    429,023.84x = 153,479,105,728.26
  5. Step 5: Solve for x
    x = 153,479,105,728.26/429,023.84
  6. Step 6: Final answer
    x = 357,740.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.